"Invasive" in one place is not necessarily so in another. For example, Brazilian Pepper trees are considered invasive in Florida, but here in Arizona, they are very popular, and are very definitly not invasive. Ours is one of my favourite trees.
That said, read up on local sources for the paulownia--local arboretum, county extension, mastewr gardener's sites, etc. andd get answers for your area.
That said, read up on local sources for the paulownia--local arboretum, county extension, mastewr gardener's sites, etc. andd get answers for your area.